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Finding the Fourth Proportional to 1,939.56, 2,909.40 and 641.16

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Solution

The fourth proportional to 1,939.56, 2,909.40 and 641.16 is: 961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.56 : 2,909.40 = 641.16 : x
  2. Step 2: Convert to fraction form
    1,939.56/2,909.40 = 641.16/x
  3. Step 3: Cross multiply
    1,939.56x = 2,909.40 × 641.16
  4. Step 4: Simplify right side
    1,939.56x = 1,865,390.90
  5. Step 5: Solve for x
    x = 1,865,390.90/1,939.56
  6. Step 6: Final answer
    x = 961.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.